Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly, a||z) ab = (α₁x, аly, alz) (Enter the components of vectors using symbolic notation and fractions where needed.) al|x ally = allz = alx = aly = alz = 11

Q: c) h(t): 5t e (t² + 1)^

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A: Option A is correct the detailed explanation is given below

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A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

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A: We have to find the limit  limx→-1 x+1x2+5x+4.

Q: 2. Evaluate the following limit (tabulate). 4- x² lim x→² 3 − √√√x² + 5 O It does not exist O -1 O…

A: Solve the limit

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Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: Given:     The curves 2y=2x2-6x+7                       y=x2-3x+72 ...1    Curve 2y=x+4…

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h ƒ(a) = a² − 4a +6 O4a-2 O2(a+2) O None of the Choices O2(2a-1)…

A: Given function:- fa=a2-4a+6

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A: The appropriate relationship has multiple of 1.6

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A: We can find the area of the shaded region using the required formula in the below steps.

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Q: Find lim 818 3x² + 5x + 1 -x²+2

A: Given query is to find the limit.

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A: Real number:-It called father of number because it contain all numbers i.e it contains rational ,…

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Q: 5. Find the exact value of each x = [0, 2π) for which sin (2x) = √3 cos (x). Leave answer in exact…

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Q: Let f(x) = { 6-x_ x4. a. Find lim f(x) and lim f(x). Select the correct choice below and fill in any…

A: Topic:  Limit and Continuity   The answer is given below:

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: If z is a differentiable function of x and y satisfying the equation sin(x²z+ny²) + 2x³ = yz² + 2,…

A: Let's find partial differentiation at given point.

Q: At what points is the function y= x+3 2 xỉ - 5x+6 continuous? Describe the set of x-values where the…

A: We can find the x-values where the function is continuous in the below steps.

Q: 2. (6x+y²) dx + (2xy-3y²) dy

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Q: Evaluate the following limits. You must use the methods we used in class (no L'Hopital) c) lim h→0 5…

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Q: 1. Find the derivative of each function. Use proper notation, and simplify your answ This includes…

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Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: 3. Find the derivative of each function by using the limit definition of the derivative! a) f (x) =…

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Q: direction:  find the derviative  (10)  y=in(x^2 +4)-1/2  arctan x/2

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A: I am attaching image so that you understand each and every step.

Q: Evaluate the following integral. [x²√7z+3 dz dx

A: The objective of the question is evaluate the indefinite integral.

Q: Evaluate the definite integral. Give the EXACT ANSWER. (no decimal approximations) 4 (2x²-4) dx =

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Q: 8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find…

A: After p practice sessions, a student could perform a task in T(p) = 36(p+1)3 minutes We have to find…

Q: 8⑧1+S 1+ (+)+ +8

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Q: Find the average rate of change of the function over the given interval. f(t) = 13 + cost a. T, b.…

A: The given function is; f(t)=13+cost a) [- pi, - pi/2] b) [0,2pi].

Q: K Graph the function. Then answer these questions. a) What are the domain and range of f? b) At what…

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Q: 2. Suppose that 2= f(x,x) with x = ln (26-t²) y= 2 s²+²+t. Use multivariable chain rule to compute…

A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have to find derivative of given function.